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Finding the Fourth Proportional to 648.46, 895.22 and 635.10

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Solution

The fourth proportional to 648.46, 895.22 and 635.10 is: 876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.46 : 895.22 = 635.10 : x
  2. Step 2: Convert to fraction form
    648.46/895.22 = 635.10/x
  3. Step 3: Cross multiply
    648.46x = 895.22 × 635.10
  4. Step 4: Simplify right side
    648.46x = 568,554.22
  5. Step 5: Solve for x
    x = 568,554.22/648.46
  6. Step 6: Final answer
    x = 876.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.